A Dependable Method for Solving Matrix Loop Equations for the General Three-Dimensional Mechanism

[+] Author and Article Information
A. S. Hall, R. R. Root, E. Sandgren

School of Mechanical Engineering, Purdue University, Lafayette, Ind.

J. Eng. Ind 99(3), 547-550 (Aug 01, 1977) (4 pages) doi:10.1115/1.3439277 History: Received June 25, 1976; Online July 15, 2010


A new method of generating solutions for the matrix method of linkage analysis is considered. Optimization techniques are used to close the matrix loop equations iteratively until they are sufficiently close to closure to allow a solution by Newton’s method. The method is especially applicable for generating the initial closed position of a general three-dimensional mechanism. This technique is demonstrated on several three-dimensional mechanism examples.

Copyright © 1977 by ASME
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